What Is the Final Temperature of a Mixture of Oxygen and Air?

AI Thread Summary
The discussion centers on calculating the final temperature of a mixture of oxygen at 105 K and room air at 307 K, mixed at equal mass flow rates. The initial calculation provided was 210 K, but there is uncertainty about its validity. The user emphasizes the need to clearly define delta T, which represents the temperature change for both substances. To find the final temperature, the equations for heat transfer must be equated, considering the specific heat capacities of oxygen and air. The conversation highlights the importance of understanding thermodynamic principles to solve the problem accurately.
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Homework Statement



An oxygen supply system mixes oxygen at 105 K and room air at 307 K at equal mass flow rates. What is the temperature of the resulting mixture in K? (c of oxygen = 918 J/kgK, c of air = 1012 J/kgK)

Homework Equations



Q=mc\Delta T and Q=mL_f

The Attempt at a Solution



(105 x 918 + 1012 x 307) / (918 + 1012) = 210 K ( not a single inkling about the validity of the answer ) -_- . The inadequancy of my lecture notes really leaves me clueless =/
 
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firstly, we must define delta T clearly. delta T is the change in temperature of both mixtures, and we can define delta T as the temepreature change from 105K, and then the temperature change for the room air is (307-105)=202K, 202-deltaTK.

Equate both equations together in the first equation you gave and you have the answer.
 
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